What is the Greatest Common Factor of 82401 and 82418?

Greatest common factor (GCF) of 82401 and 82418 is 1.

GCF(82401,82418) = 1

We will now calculate the prime factors of 82401 and 82418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82401 and 82418.

How to find the GCF of 82401 and 82418?

We will first find the prime factorization of 82401 and 82418. After we will calculate the factors of 82401 and 82418 and find the biggest common factor number .

Step-1: Prime Factorization of 82401

Prime factors of 82401 are 3, 11, 227. Prime factorization of 82401 in exponential form is:

82401 = 3¹ × 11² × 227¹

Step-2: Prime Factorization of 82418

Prime factors of 82418 are 2, 7, 29. Prime factorization of 82418 in exponential form is:

82418 = 2¹ × 7² × 29²

Step-3: Factors of 82401

List of positive integer factors of 82401 that divides 82401 without a remainder.

1, 3, 11, 33, 121, 227, 363, 681, 2497, 7491, 27467

Step-4: Factors of 82418

List of positive integer factors of 82418 that divides 82401 without a remainder.

1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 841, 1421, 1682, 2842, 5887, 11774, 41209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82401 and 82418. The biggest common factor number is the GCF number.
So the greatest common factor 82401 and 82418 is 1.

Also check out the Least Common Multiple of 82401 and 82418